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arXiv · 2512.01694

Quasinormal modes of Reissner-Nordstr\"om-AdS black holes under physical field-vanishing boundary conditions

Hui-Fa Liu·Qi Su·Ding-fang Zeng
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Abstract

Boundary conditions play a key role in determining the perturbation behavior of a black hole. Motivated by two guiding principles for single-field perturbations -- the non-deformation of the boundary metric and the vanishing of electromagnetic energy flux at the AdS boundary -- we impose a boundary condition for Reissner-Nordstr\"om-AdS (RN-AdS) black holes requiring both the metric and electromagnetic field-strength perturbations to vanish at the AdS boundary, which we term the physical field-vanishing (PFV) condition. Using the formulas for perturbation reconstruction, we translate the PFV condition into boundary conditions on the master functions: Dirichlet-type for odd-parity modes and Robin-type for even-parity modes. With these boundary conditions, we compute the quasinormal frequencies of RN-AdS black holes and identify new spectral features. The PFV prescription introduced here could be applied to other multifield perturbation systems in asymptotically AdS spacetimes.

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Hui-Fa Liu, Qi Su, Ding-fang Zeng. 2025-12-01. Quasinormal modes of Reissner-Nordstr\"om-AdS black holes under physical field-vanishing boundary conditions. https://doi.org/10.1103/kdf2-hyyl

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